User`s guide

ss2ss
11-215
11ss2ss
Purpose State coordinate transformation for state-space models
Syntax sysT = ss2ss(sys,T)
Description Given a state-space model sys with equations
(or their discrete-time counterpart),
ss2ss performs the similarity
transformation on the state vector and produces the equivalent
state-space model
sysT with equations.
sysT = ss2ss(sys,T) returns the transformed state-space model sysT given
sys and the state coordinate transformation T. The model sys must be in
state-space form and the matrix
T must be invertible. ss2ss is applicable to
both continuous- and di screte-time models.
Example Perform a similarity transform to improve the conditioning of the matrix.
T = balance(sys.a)
sysb = ss2ss(sys,inv(T))
See ssbal for a more direct approach.
See Also balreal Gramian-based I/O balancing
canon Canonical state-space realizat ions
ssbal Balancing o f state-space models using diagonal
similarity transformations
x
·
Ax Bu+=
yCxDu+=
xTx=
x
x
·
TAT
1–
xTBu+=
yCT
1–
xDu+=
A